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Balanced Assessment
A Loud Noise
In a scale measuring noise, an increase in 10 dB is a 10 time increase in power. Mathematicians examine the data graph of a real world exponential growth, with no logarithmic scale, and then create two equations relating the...
Balanced Assessment
Fit-Ness
Serve four towns with one bus route. Pupils develop a bus route that meets certain criteria to serve four towns. They determine which of the routes would best serve all of them. Individuals then hypothesize where a fifth town should be...
Balanced Assessment
Dollar Line
Challenge the class to develop a story that matches a graph. The short assessment provides a line graph with the vertical axis labeled as dollars. The task asks pupils to develop a description of a situation that could be represented by...
Illustrative Mathematics
Rainfall
Find the how long it has been raining based upon the amount of rainfall. Scholars analyze a table of the amount of rainfall as a function of time. Pupils first determine whether the function is invertible, then they find and interpret...
EngageNY
Finding Equivalent Ratios Given the Total Quantity
Complete incomplete tables by using proportions. Pupils use information provided to complete tables based on proportions. Class members use their knowledge of part-to-part ratios and totals to find the missing information.
EngageNY
Addition and Subtraction of Rational Numbers
Apply addition and subtraction of integers to solve problems with rational numbers. Pupils apply the rules for adding and subtracting integers to add and subtract rational numbers. Class members represent the problem with equations and...
EngageNY
The Most Famous Ratio of All
Pupils develop a definition of a circle based upon its radius in the 17th segment of a 28-part series. They determine the relationship between the radius and the diameter of a circle. To round out the lesson, they use the formula for the...
EngageNY
Volume of Right Prisms
Apply volume and area formulas to find the volume of any right prism. The 26th lesson of a 29-part module examines methods for finding the volume of right prisms with varying shapes of bases. Learners use the formula V = Bh to find...
EngageNY
Surface Area
Explore finding the surface area of composite figures. Building on the previous lessons in the 29-part series, the 24th installment examines the surface area of three-dimensional solids. The focus is on decomposing composite figures and...
Illustrative Mathematics
Fraction Equivalence
Why is six-tenths equivalent to sixty-hundredths? This is the question learners are tasked to explain in writing as well as with a picture.
Illustrative Mathematics
Karl's Garden
Whose garden is bigger? Assess your class with the area task of finding out if Karl or Makenna's garden is bigger in area.
New York City Department of Education
Chris’ Garden Dilemma
Make the connections between area, tiling, and multiplication. A performance task and associated unit presents the concept of area and makes the connection to multiplication. Pupils work through three major sections of instruction that...
Curated OER
Exploring Exponential Growth and Decay Functions
Students differentiate between exponential growth and decay. In this algebra activity, students solve exponential equations using properties of exponents. They use the Ti calculator to graph and analyze their functions.
Curated OER
Everyone's Playing Basketball
To foster number sense and build problem solving skills, pupils will work through a complex word problem. They will be asked to analyze the data given, solve the problem, then share their thinking process with the class. This activity...
Curated OER
Virtual Field Trip
This hands-on resource has future trip planners analyze graphs of mileage, gasoline costs, and travel time on different routes. While this was originally designed for a problem-solving exercise using a Michigan map, it could be used as a...
Curated OER
Add It Up In Number Ville! Adding 2-Digit Numbers With and Without Regrouping
Students explore adding 2-digit numbers. For this math lesson, students identify 2-digit numbers and use base ten blocks to practice adding. Students use addition to break a code.
Curated OER
Central Valley Math Project
Middle schoolers study the Pythagorean Theorem. They describe what it means to square a number. Pupilsuse the Pythagorean Theorem to prove the sides of given triangles, and use geometric pieces of paper to create a right triangle and...
Curated OER
Computation with Fractions
Upper graders are introduced to the topic of fractions and percentages. In groups, they discuss real world situations in which fractions are present, and they complete a worksheet solving problems with common and uncommon denominators....
Curated OER
Handcarts - A Unique Form of Transportation
An interesting historical fact about how handcarts benefitted to the Mormon pioneers is the context behind this math lesson. Using given facts and figures regarding the handcart, pupil pairs create math word problems, share them with the...
Illustrative Mathematics
Bike Race
A graph not only tells us who won the bike race, but also what happened during the race. Use this resource to help learners understand graphs. The commentary suggests waiting until the end of the year to introduce this topic, but why...
Curated OER
Clock Fractions
Elementary schoolers generate and manipulate fractions. They review equivalent fractions and use an analog clock to create and add fractions. Pupils work in groups to complete two fraction worksheets.
Curated OER
How Does Your Population Grown?
Do you know how the population has grown of your community? Can you predict the population over the next half century? Can we find an algebraic model that matches our data? These along with many more questions can be researched by...
Tin Snips
Addition Hearts
Two hearts are better than one, I always say. Have your little ones use the numbers and images contained within these hearts to count and add numbers up to ten. There are four problems to solve. Because objects are included along with...
Curated OER
The Trapping of Trapezoids
This is a nice hands-on activity where young geometers create trapezoids and calculate their area by looking at areas of quadrilaterals and triangles.
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